27464
27464 is a even composite number that follows 27463 and precedes 27465. It is composed of 8 distinct factors: 1, 2, 4, 8, 3433, 6866, 13732, 27464. Its prime factorization can be written as 2^3 × 3433. 27464 is classified as a deficient number based on the sum of its proper divisors. In computer science, 27464 is represented as 110101101001000 in binary and 6B48 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 3433) reveals 4 prime building blocks.
Divisible by 2
27464 ends in 4, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
27464 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 23 is not a multiple of 9.
Divisible by 10
27464 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 27464 within several notable number theory sequences:
Timeline
Deep dive
How 27464 breaks down
27464 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 24046, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101001000 supports bitwise reasoning, hexadecimal 6B48 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27464 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27464 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27459–27469) to tune search ranges, and educators feature 27464 in worksheets about factor trees. Its binary footprint of length 15 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 27464 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 27464
Is 27464 a prime number?
27464 is composite with 8 total factors and the prime factorization 2^3 × 3433.
What is the prime factorization of 27464?
It breaks down as 2^3 × 3433, multiplying the primes 2 × 2 × 2 × 3433.
How is 27464 represented in binary and hexadecimal?
27464 converts to 110101101001000 in binary and 6B48 in hexadecimal, which are helpful for computer science applications.
Is 27464 a perfect square, cube, or triangular number?
27464 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27464?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.